Answer:
The ratio of lengths of the two mathematical pendulums is 9:4.
Explanation:
It is given that,
The ratio of periods of two pendulums is 1.5
Let the lengths be L₁ and L₂.
The time period of a simple pendulum is given by :
or
Where
l is length of the pendulum
or
....(1)
ATQ,
Put in equation (1)
So, the ratio of lengths of the two mathematical pendulums is 9:4.
Explanation:
Wavelength in an emission spectrum,
The energy of an electron is given by :
Where
h is the Planck's constant
c is the speed of light
For 435 nm, the energy of the electron will be :
We know that
So,
So, E = 2.86 eV
The energy of the electron dropping from one energy level is 2.86 eV. We know that,
From the given energy levels :
So, the transition must be from E₅ to E₂. Hence, this is the required solution.